# Fixtures feature_selection
# ==============================================================================
import numpy as np
import pandas as pd

# Fixtures _backtesting_forecaster_no_refit Series (skforecast==0.5.1)
# np.random.seed(123)
# y = np.random.rand(50)
# exog = np.random.rand(50)
# out_sample_residuals = np.random.rand(50)

y = pd.Series(
    np.array([0.69646919, 0.28613933, 0.22685145, 0.55131477, 0.71946897,
              0.42310646, 0.9807642 , 0.68482974, 0.4809319 , 0.39211752,
              0.34317802, 0.72904971, 0.43857224, 0.0596779 , 0.39804426,
              0.73799541, 0.18249173, 0.17545176, 0.53155137, 0.53182759,
              0.63440096, 0.84943179, 0.72445532, 0.61102351, 0.72244338,
              0.32295891, 0.36178866, 0.22826323, 0.29371405, 0.63097612,
              0.09210494, 0.43370117, 0.43086276, 0.4936851 , 0.42583029,
              0.31226122, 0.42635131, 0.89338916, 0.94416002, 0.50183668,
              0.62395295, 0.1156184 , 0.31728548, 0.41482621, 0.86630916,
              0.25045537, 0.48303426, 0.98555979, 0.51948512, 0.61289453]))

exog = pd.Series(
    np.array([0.12062867, 0.8263408 , 0.60306013, 0.54506801, 0.34276383,
              0.30412079, 0.41702221, 0.68130077, 0.87545684, 0.51042234,
              0.66931378, 0.58593655, 0.6249035 , 0.67468905, 0.84234244,
              0.08319499, 0.76368284, 0.24366637, 0.19422296, 0.57245696,
              0.09571252, 0.88532683, 0.62724897, 0.72341636, 0.01612921,
              0.59443188, 0.55678519, 0.15895964, 0.15307052, 0.69552953,
              0.31876643, 0.6919703 , 0.55438325, 0.38895057, 0.92513249,
              0.84167   , 0.35739757, 0.04359146, 0.30476807, 0.39818568,
              0.70495883, 0.99535848, 0.35591487, 0.76254781, 0.59317692,
              0.6917018 , 0.15112745, 0.39887629, 0.2408559 , 0.34345601]), 
    name='exog')

out_sample_residuals = np.array([
                        0.51312815, 0.66662455, 0.10590849, 0.13089495, 0.32198061,
                        0.66156434, 0.84650623, 0.55325734, 0.85445249, 0.38483781,
                        0.3167879 , 0.35426468, 0.17108183, 0.82911263, 0.33867085,
                        0.55237008, 0.57855147, 0.52153306, 0.00268806, 0.98834542,
                        0.90534158, 0.20763586, 0.29248941, 0.52001015, 0.90191137,
                        0.98363088, 0.25754206, 0.56435904, 0.80696868, 0.39437005,
                        0.73107304, 0.16106901, 0.60069857, 0.86586446, 0.98352161,
                        0.07936579, 0.42834727, 0.20454286, 0.45063649, 0.54776357,
                        0.09332671, 0.29686078, 0.92758424, 0.56900373, 0.457412  ,
                        0.75352599, 0.74186215, 0.04857903, 0.7086974 , 0.83924335
                      ])

if pd.__version__ < '2.2.0':
    freq = "H"
else:
    freq = "h"

y_feature_selection = pd.Series(
    np.array([
        -1.58530369e-01,  3.63524919e+01,  8.86770772e+01, -2.08096884e+01,
        3.76744792e+01,  5.42039264e+01,  2.49951079e+01,  5.96497621e+01,
       -3.64029383e+01, -8.99068703e+01, -5.31841523e-01, -9.03290403e+01,
        4.56887850e+01, -2.49293880e+01, -6.18020819e+01,  4.81618954e+01,
        3.26310898e+01, -2.44143206e+01,  6.87147394e+00,  1.38394053e+02,
       -6.67347231e+01, -1.44324564e+01,  6.32450871e+01, -1.74927315e+01,
       -6.50498732e+01,  1.26871769e+00, -4.62944202e+00, -4.94827228e+01,
        1.01249089e+01,  1.53308277e+01, -3.69715718e+01, -2.21622729e+01,
        3.11725914e+00, -3.83302883e+01,  2.16908072e+01, -2.10268226e+01,
        6.78497270e+01,  1.42683679e+01,  6.36213242e+01,  1.00853462e+01,
       -1.21032085e+02,  5.30171567e+01, -8.01331471e+01,  1.81492924e+01,
        2.68676263e+01,  5.97301700e+01,  3.82119310e+01, -4.55420580e+01,
        6.94521006e+00, -4.73468973e+01, -1.48148761e+02,  2.29818323e+01,
       -9.68532806e+00,  2.76546139e+00, -1.40197169e+01, -1.79977212e+01,
        2.90915247e+01, -5.81317655e+01,  6.26341927e+01, -4.31587829e+01,
        6.11486861e+01,  5.62691011e+01,  1.44680330e+02, -4.88822314e+01,
       -2.30270910e+01, -1.94277591e+01,  1.10160891e+02, -4.37123011e+01,
        8.14983289e+00,  5.22837112e+01,  2.86575456e+01,  2.29161213e+01,
       -3.79674889e+01,  1.67458893e+02, -1.77894011e+01, -1.03118676e+02,
       -1.06301190e+01, -4.95821365e+01,  8.34199592e+01, -4.68179051e+01,
        9.02512187e+01,  6.50321794e+00, -2.36988588e+01, -5.93556794e+01,
        8.66356531e+01, -4.21331617e-01, -1.33358686e+01,  8.85688491e-01,
       -7.91775647e+01, -3.91874049e+01,  1.02938351e+02, -1.39356598e+02,
       -2.71242014e+01,  4.94413982e+00,  2.51210850e+01, -1.14021678e+02,
       -9.83043793e+00, -2.46791536e+01,  1.26197536e+02,  7.07296471e+01,
       -1.48490792e+01, -3.81572592e+01,  3.36228174e+00,  5.02254997e+01,
        4.83905762e+01, -1.22854727e+01, -3.72298171e+00,  9.69243121e+01,
        1.83230387e+01,  4.79080121e+01, -5.02785237e+01,  5.30605069e+00,
        9.11735636e+00,  1.20992097e+02,  5.07724189e+01, -6.61957621e+01,
       -1.18758527e+02,  4.38121898e+01,  4.71145746e+01, -9.59096663e+01,
        8.17362884e+01,  2.78323605e+01, -1.49768202e+02, -9.50435221e+01,
        1.52499279e+01,  9.75031543e+01,  2.99590420e+01,  8.14841118e+01,
       -9.09235317e+01,  2.24549649e+01, -1.39351580e+01, -8.54523328e+01,
        6.51813430e+01,  7.06275842e+01,  7.22721475e+01,  5.06527546e+01,
        3.17631845e+01, -1.09067190e+02,  2.10858128e+01,  1.37894317e+02,
       -1.50063653e+02, -5.60100981e+01,  3.19259485e+01,  2.03014087e+00,
       -1.45944905e+02,  9.16632722e+00, -1.58914631e+01, -3.51276089e+01,
       -1.18339557e+02,  6.39648686e+01, -2.03190494e+02,  3.80745266e+01,
       -1.65838317e+01, -1.26060286e+01,  1.27181499e+01, -3.43827585e+01,
        1.15694826e+01, -4.18745607e+01,  4.46593188e+01, -3.14665665e+01,
        4.11450856e+01,  3.40144660e+01,  1.69260611e+01,  2.50389041e+01,
       -6.52338599e+01,  2.95550204e+01,  2.66243247e+01,  8.03162342e+00,
        1.07299060e+02, -4.26300248e+01, -9.22817018e+01,  2.92342723e+01,
       -3.14167515e+01,  1.21750220e+02, -1.28273407e+02,  5.69996760e+01,
       -5.94722717e+01, -3.70135231e+01, -1.50875044e+01,  1.24349786e+01,
        2.93546274e+01,  5.58450165e+01, -6.09614358e+01,  1.50686444e+02,
       -6.60876062e+01,  3.27308282e+00, -8.11195367e+01,  1.48781142e+02,
       -4.64665781e+01, -4.43740691e+01,  4.42086791e+00, -1.71807931e-01,
       -1.38476803e+01,  9.38533531e+01, -6.34257208e+00, -5.32379520e+01,
       -6.56385902e+01, -6.88319920e+01,  1.88616758e+01, -3.78665080e+01,
        9.03362210e+01, -6.12345585e+01,  3.62391684e+01,  2.27791810e+01,
        2.61787409e+01,  7.10670027e+01, -1.69782866e+02,  5.46516427e+01,
        7.31752893e+01,  3.70983828e+01,  2.57014914e+01,  4.51903037e+01,
        1.54271333e+01, -7.22404048e+01,  8.49674160e+01, -3.80708514e+01,
       -8.21965516e+01, -9.90222813e+01,  5.04291554e+01,  6.71092487e+01,
       -2.54028468e+01,  6.19285727e+00,  3.37506382e+01,  1.06194107e+01,
       -4.78360905e+00,  3.05097535e+01,  4.66097713e-01, -2.89461229e+01,
       -1.07559559e+02, -1.53063506e+00, -5.17377380e+01, -6.44892938e+01,
        3.31164284e+01, -1.39741794e+02,  9.72383726e+00, -4.88859146e+01,
       -6.63388661e+00,  2.34625297e+01,  1.43717916e+01, -2.03500132e+01,
        3.59241238e+01,  8.91049005e+01, -5.47449496e+01,  2.83063982e+01,
        1.13304321e+02,  8.41522649e+00, -8.55949044e+01,  4.79462422e+01,
       -4.73253784e+01,  7.88875784e+01,  1.18269469e+01, -3.31065216e+01,
       -6.65618970e+01,  5.38478238e+01,  1.67286335e+02,  1.46898179e+00,
        6.56125553e+01,  1.67152856e+02,  6.73137469e+01,  5.32219913e+01,
       -6.10516845e+01, -8.83475557e+01, -2.27319938e+01,  5.23392275e+01,
       -5.29282171e+01, -1.76494319e+02, -1.17055662e+01, -1.97459504e+01,
        8.28942756e+01, -1.80294321e+02, -5.71667714e+01, -9.74097242e+01,
        1.17080425e+01,  1.30820406e+02,  4.21402873e+01, -1.90580400e+01,
        3.99124025e+01,  6.18856985e+01, -3.51700998e+01,  1.22602432e+02,
        5.70271630e+01,  6.46144109e+01,  2.41557719e+01, -1.13501557e+02,
        2.72631676e+01,  7.28722423e+00,  1.99883252e+01,  3.97109357e+01,
       -1.82895115e+01, -1.34488088e+01, -4.45549253e+00, -5.16386483e+01,
       -3.60900727e+01, -1.00785722e+02, -7.73251591e+01,  7.34002993e+01,
       -7.21196198e+01,  5.79606980e+01,  6.10317661e+01, -6.78061440e+00,
       -4.82356605e+00, -7.69245853e+01, -3.68793781e+00,  1.93437107e+01,
       -2.56196808e+01, -3.12889013e+01,  4.45856649e-01, -6.28395977e+01,
        2.18249188e+01,  1.18199214e+02,  6.54885658e+01, -7.83002701e-01,
       -1.62080961e+01,  1.09051247e+01,  9.25203200e+01,  6.06691665e+01,
       -1.03088078e+02, -5.02757262e+01, -2.11197834e+02,  1.27696530e+02,
        5.39775830e+01,  4.81178428e+01,  5.00059133e+01,  1.88753514e+01,
       -1.33122181e+02,  1.07492127e+01, -1.04563731e+01,  1.70051212e+01,
       -3.23902317e+01,  6.69411654e+01,  5.87355465e+01,  5.56736869e+01,
        6.89323640e+01, -6.36684030e+01, -1.48232105e+01,  1.32566589e+02,
       -7.38290450e+01,  8.45840735e+01,  3.35485475e+01,  7.71060524e+01,
        1.15895368e+02,  8.95113757e+01, -3.89877898e-01,  2.13564322e+01,
        4.03131907e+01,  1.74257217e+01,  1.85306243e+01, -1.47089948e+01,
       -8.24139743e+01,  5.32703970e+00,  1.98902106e+01,  1.16746208e+02,
       -2.05999632e+01,  4.99095473e+01,  4.74790837e+01,  4.77497101e+01,
        4.03050347e+01,  9.23570820e+01, -6.65499759e-01, -3.51158530e+01,
       -6.15051737e+01, -4.64955502e+00,  2.42430061e+01,  5.70394277e+01,
       -6.09160013e+01,  1.35328480e+02,  4.48620109e-01, -2.18721016e+01,
       -2.47251019e+01, -4.49132916e+00, -2.69264608e+01, -7.96576990e-01,
       -2.08657724e+01,  4.92066290e+01, -8.79475031e+00,  8.09279500e+01,
        1.66006628e+01, -6.78466032e+01,  2.51119307e+01, -3.72633493e+01,
        4.46930239e+01, -1.52321323e+02, -2.03679319e+00, -5.48379080e+01,
       -4.01161247e+01, -3.24045965e+01,  2.48064082e+01, -2.91570756e+01,
        3.43471176e+01,  5.01819045e+01, -1.06422259e+02,  4.70568897e+01,
        2.66706126e+01,  4.11062263e+01, -6.80674230e+00, -9.65621562e+00,
       -1.79955672e+02, -8.32369474e+01, -1.91848651e+01,  7.03384798e+01,
       -4.78190796e+00,  9.66764662e+01, -3.99982128e+01, -3.25128359e+01,
       -3.03416068e+01,  1.27989184e+01, -1.37599472e+01,  3.58854723e+01,
        1.59619407e+02,  9.76405555e+01, -6.62951356e+01, -1.41575566e+02,
       -5.38353046e+01, -7.42682810e+01,  1.10029273e+02, -6.41307606e+01,
       -8.52456829e-01, -1.09195991e+02, -7.49118428e+01,  9.94697250e+00,
       -9.02804015e+01, -3.14899975e+01, -1.47491245e+01,  7.33591244e+01,
        3.52933611e+01,  1.66384393e+02, -1.50976922e+01, -3.03651222e+01,
       -5.63948670e+01,  1.38138220e+02, -9.06866916e+01, -3.15184584e+01,
        8.07650183e+01, -8.56152312e+01, -3.02473589e+01,  9.00588150e+01,
       -1.45606729e+01, -6.66530802e-01,  5.58943997e+01, -9.40965691e+01,
        4.88185243e+01, -1.40645937e+01,  5.77229615e+01,  3.47658520e+01,
        1.96878564e+01,  2.70791473e+01, -3.95351689e+00,  1.36884690e+01,
        3.00670972e+00,  1.32772960e+01,  4.95438485e+01, -2.49057858e+00,
       -8.41864474e+01, -1.26661898e+02,  1.56209571e+02,  4.87353348e+01,
        2.99994948e+01,  1.44968040e+01, -8.33124743e+01,  3.33386434e+01,
       -2.59072771e+01, -2.01548017e+00, -1.22220956e+02,  5.04636930e+01,
       -6.38434192e+01, -5.10596603e+01,  5.63684109e+01, -1.16439418e+02,
        3.49362857e+01,  1.58135023e+02, -1.06270368e+02, -1.83927457e+01,
       -5.80986004e+01,  6.79312268e+01, -1.18349740e+02, -4.29282772e+01,
       -4.00610877e+01,  2.58717848e+01,  1.50695089e+02,  3.11986902e+01,
       -8.00308714e+01,  1.09791672e+02,  2.62532586e+00,  8.72201086e+01,
       -4.94596849e+01,  4.94959321e+00,  2.09457431e-01,  1.04281270e+01,
       -6.40634325e+01,  2.09727662e+01, -1.84245723e+01, -5.57535945e+01,
        3.84932111e+01,  6.24541727e+01,  1.11414165e+01, -7.28150550e+01,
       -7.81017553e+01, -1.29776897e+02, -1.31206072e+00, -5.03490895e+01
    ]),
    index=pd.date_range(start='2020-01-01', periods=500, freq=freq)
)

exog_feature_selection = pd.DataFrame(
    np.array([
       [ 9.12687936e-01, -6.30618391e-01,  2.75341863e-01, -1.39437511e+00, -1.27357024e+00],
       [-5.98731767e-01,  1.44890361e+00, -3.93293346e-02, -1.87039748e+00,  9.83033396e-01],
       [ 1.49564414e+00,  8.90706391e-01,  1.06931597e+00,  1.75488618e+00,  1.06939267e+00],
       [ 3.21254276e-01, -1.98252429e-02, -3.34325312e-01, -1.53906585e+00, -1.39380664e+00],
       [-2.29426629e-01,  1.44857659e+00, -1.73912222e-02,  8.92200085e-01, -4.49667602e-01],
       [-1.89382188e-01,  1.50092262e+00,  2.32036972e-01,  4.91957128e-01,  5.99431927e-02],
       [ 1.37725748e+00,  5.53856166e-01,  1.67942295e-01, -5.30674560e-01, -1.43175974e-01],
       [-1.14752541e+00,  1.59592117e+00,  2.79943571e-01,  5.85318030e-01,  5.33510818e-01],
       [-2.39669947e-01,  5.75848362e-01, -8.53944819e-01,  1.95473356e+00,  7.68735860e-01],
       [ 3.21686576e-01, -1.10004311e+00, -9.97321469e-01, -7.56437209e-01,  7.60949393e-01],
       [ 2.16396568e-01, -2.33503993e-01,  9.41528855e-02,  1.33063078e+00,  1.25546432e+00],
       [-6.99877235e-01, -2.79858911e+00, -2.55619371e-01, -1.77153310e+00,  9.27462432e-01],
       [-8.32408826e-01,  3.74366421e-01,  5.88206408e-01,  1.04109692e+00,  1.46017154e-01],
       [ 1.62953419e+00, -1.25683381e+00,  1.42990028e-01,  2.61989197e-01,  6.58062825e-02],
       [ 1.32026832e+00,  7.74000002e-01, -1.36000768e+00, -1.05705578e+00, -1.00326528e-02],
       [ 3.11581503e-01,  5.12982850e-01,  5.67880067e-01, -2.69225906e-02, -1.42050727e-01],
       [ 1.00405390e+00,  2.20593008e+00, -4.34351276e-01,  2.18678609e+00,  3.86186399e-01],
       [-6.00584865e-01, -2.17923506e-01, -3.06435381e-01,  1.44199915e+00, -3.12644023e-01],
       [ 4.26146640e-01,  1.79549485e-01,  3.41421289e-02, -1.86197571e+00, -1.60540974e+00],
       [-2.45165068e-01,  1.64249834e+00,  1.55757372e+00, -5.27091942e-01, -1.66430542e+00],
       [-5.68685746e-01, -7.61404530e-02, -1.06661274e+00,  2.20714791e-01,  6.13274991e-01],
       [-1.40068720e-01,  9.07105196e-01, -6.37751502e-01, -1.42868070e+00, -8.61754896e-01],
       [ 9.78736006e-01,  2.39236527e+00, -1.18304945e-02,  4.12912160e-01,  2.23814334e+00],
       [-1.70966090e+00, -2.99330718e-01, -1.56446138e-01,  1.26025679e+00, -9.61805342e-01],
       [ 1.25872130e+00, -2.47621379e-01, -9.63253686e-01, -2.63143804e+00,  6.00175236e-01],
       [ 5.94070255e-01,  1.03247972e+00, -4.34166520e-01, -1.94342727e-01, -1.99112383e-01],
       [-5.83536717e-01, -1.59245209e-01, -6.12996105e-03, -1.21448675e-01,  9.90132895e-01],
       [ 1.02319098e+00,  9.92992170e-01, -1.25343801e+00, -1.09220035e+00, -1.78893457e+00],
       [-5.49077861e-01,  8.50720674e-01, -2.08052176e-01,  9.80117506e-01, -6.79778149e-01],
       [ 3.12593520e-01, -7.74332726e-01,  5.94040205e-01, -3.80291097e-01,  1.32327371e+00],
       [ 8.37935227e-01,  5.47252413e-01, -8.50715046e-01, -7.17631684e-01,  7.40198479e-01],
       [ 1.16525834e+00, -8.59687989e-01,  1.35595253e-02,  1.62153063e+00, -1.45710005e+00],
       [ 7.74326162e-01, -7.80908606e-01,  3.95588623e-01, -1.64671195e-01, -2.46828302e-01],
       [-1.08476877e+00,  1.69805899e+00, -1.38035132e+00, -6.88548532e-01, -4.56425956e-01],
       [-4.05843375e-01, -1.32801175e-01,  4.16123814e-01,  1.93085087e+00, -1.08850856e+00],
       [ 1.43488680e+00, -1.39675918e+00,  2.69001190e-01, -4.16757668e-01,  8.23896443e-01],
       [-1.47639930e+00,  1.80358591e+00,  3.23594628e-01,  1.73196213e+00,  5.70631220e-01],
       [ 8.38713275e-01,  9.58235644e-01, -1.87133068e-01,  8.11225460e-01,  6.98921235e-01],
       [-7.54202163e-01, -1.19518780e-01,  1.10152599e+00,  9.76921565e-01, -1.26177001e+00],
       [ 4.99456892e-01,  1.31489256e-01,  1.08308598e-01, -1.15670889e+00,  7.09693140e-01],
       [-2.23641735e+00, -2.16940796e+00, -1.03910438e+00, -3.56054846e-02, -1.09427342e+00],
       [ 2.47979885e-01, -9.85023583e-01,  1.30819356e+00,  5.05685851e-01,  8.17188280e-01],
       [ 2.28720740e-01, -1.33944137e+00, -7.30675480e-01,  5.55356605e-01,  4.64315464e-01],
       [-6.35881610e-01, -1.37544054e+00,  9.05452836e-01, -1.68979089e+00,  1.66702579e+00],
       [-4.17888725e-01, -1.98626941e-01,  5.30481414e-01, -1.79395613e-01,  6.50824289e-01],
       [ 1.19035444e+00,  1.28570105e+00,  4.18003741e-01, -1.73591796e-01,  1.21690580e+00],
       [-9.80913012e-02,  1.32748495e+00,  4.48421962e-02,  1.13237578e+00, -1.10304986e+00],
       [ 1.01639127e+00, -5.39390119e-01, -5.13050610e-01,  8.95370847e-01,  9.33585094e-01],
       [-3.14250587e-01, -7.08322484e-01,  4.26701799e-01,  9.59830450e-01,  2.30522083e-02],
       [ 1.00009556e+00, -6.27436575e-01, -5.03996852e-01,  3.30881396e-01, -3.74558562e-01],
       [-3.47964338e-01, -7.26114028e-01, -2.12229888e+00, -5.90324918e-01, -4.48391638e-01],
       [-1.87686866e+00,  2.83725356e-01,  2.53816477e-01, -1.41188888e+00, -1.01965507e+00],
       [ 6.05970238e-01,  8.47926813e-01, -5.33407626e-01,  1.38223084e+00,  6.39968591e-01],
       [ 1.93589006e-01, -1.33589595e+00,  6.34408706e-01, -1.13641843e+00,  6.87285711e-01],
       [ 2.51464184e-01, -7.72583732e-01,  1.09403156e-01,  7.44819312e-01, -6.94798215e-01],
       [ 4.93579547e-01, -6.29012255e-01, -1.94587564e-02,  1.09592178e+00,  1.50870511e+00],
       [ 3.76920114e-01, -4.79122945e-01,  6.90777273e-01,  3.60050728e-01, -1.11869560e+00],
       [-4.53342905e-01,  1.22317336e+00, -1.49748020e+00,  8.58006428e-02, -9.08770239e-01],
       [ 1.25973654e+00,  3.44937336e-01,  8.80535749e-01,  3.45769929e-01, -1.64662222e-01],
       [-2.62398574e-01,  5.53503841e-01, -9.55471367e-01,  1.68987953e+00, -8.02446068e-01],
       [-3.93230715e-01, -6.75334236e-01,  1.30574740e+00,  1.56319421e-01,  2.51075019e-01],
       [ 1.10453109e-01, -5.50893205e-01,  1.17045430e+00, -3.98623925e-01,  1.11340168e+00],
       [-6.53990548e-01,  1.13579066e+00,  1.88454748e+00,  8.61854329e-02,  2.68862695e-02],
       [ 6.00571094e-01, -2.95829068e-01, -6.75469434e-01, -2.05239840e+00, -1.57744879e+00],
       [ 3.80921434e-01, -9.48498626e-01,  3.84470766e-02,  1.61338154e+00, -2.51037455e-01],
       [-1.08864988e+00,  3.54655276e-01, -4.76601558e-01,  1.72121580e+00,  1.01761280e+00],
       [ 1.28422063e+00, -5.27761384e-02,  1.83934838e+00, -1.49340181e+00, -1.36488238e-01],
       [-6.38901997e-01, -9.47089689e-02, -6.78886152e-01,  1.49138963e+00, -4.43981960e-01],
       [ 3.36296345e-01,  1.17437815e+00, -3.83270133e-01,  3.74674353e-01, -6.08175260e-01],
       [-8.37516723e-01, -4.03366038e-01,  1.03972709e+00, -1.26029585e-01, -1.60596276e+00],
       [ 2.96556567e-01,  7.04979480e-01,  1.61710309e-01,  6.82034777e-01,  5.23342630e-01],
       [-3.63073748e-02, -2.93095701e-01,  5.06976484e-01, -2.89459450e-02, -1.05227898e+00],
       [ 9.07482945e-01, -5.03584568e-01, -4.03959935e-01,  1.03208018e+00,  3.99122048e-01],
       [-1.36921859e+00,  1.75243295e+00,  1.98827433e+00, -6.08060192e-01,  6.97242445e-01],
       [-6.58841944e-01, -7.96296464e-01,  5.77088068e-02, -1.13568804e+00, -1.83331810e-01],
       [-1.22452909e+00, -1.18215289e+00, -1.17893695e+00,  1.08916538e+00,  1.00865096e+00],
       [-1.11410309e-01, -1.57662390e+00,  5.19677108e-01,  3.98328005e-01,  6.07932668e-02],
       [ 9.57578748e-01, -5.86650308e-01, -5.58823691e-01, -4.66574032e-01, -2.35235841e+00],
       [-1.41277949e+00,  8.39928561e-02,  1.33822053e+00,  2.47284030e-01,  4.87009294e-01],
       [-5.05983116e-01,  2.65999167e-01, -8.89072409e-01, -7.14102596e-01, -7.06136439e-01],
       [ 6.91422545e-01,  1.62220849e+00,  7.72845396e-01, -4.97160147e-01,  1.94316017e+00],
       [ 8.41939573e-01,  1.90210018e-01,  2.33723433e-02, -8.81748527e-01, -3.97363492e-01],
       [-1.20193668e+00, -5.49698069e-01, -1.48405388e-01, -1.87903939e-01, -4.70785558e-01],
       [ 1.65776233e+00, -1.61451138e-01, -9.07361492e-01, -3.66811384e-01, -1.68013415e+00],
       [ 6.26982936e-01,  1.09206771e+00,  9.46908244e-01, -3.47958973e-01, -1.54253661e+00],
       [ 6.02932717e-03,  2.26261647e-01, -1.06674491e-01, -1.47297761e+00,  1.71604032e+00],
       [ 1.34009870e+00,  1.42425585e-01, -2.82628384e-01,  5.41231297e-01, -1.56925613e+00],
       [-3.87523104e-01, -8.74146320e-01,  3.99895521e-01, -8.11097788e-01, -5.12506046e-01],
       [ 1.01366576e+00,  2.28371100e-01, -1.40596093e+00,  6.31758919e-01,  2.43211711e-01],
       [-1.50629471e+00,  9.97345447e-01, -1.08563060e+00,  2.82978498e-01, -5.78600252e-01],
       [-7.32448881e-01,  8.81416920e-01,  1.30851845e+00,  8.87442318e-01,  1.25682083e+00],
       [-1.78652685e+00, -1.18465749e+00, -1.77524284e+00,  1.45979225e-01, -1.52394498e-01],
       [ 9.59204124e-02,  1.04233537e+00, -9.06589522e-01, -2.10492843e+00,  8.00929647e-01],
       [ 1.51886562e+00, -5.48955096e-01,  3.23468848e-01,  1.80597011e+00, -3.54000113e-01],
       [-9.74307850e-01,  2.79662670e-01,  2.90874387e-01,  2.49969939e-01,  4.35875771e-01],
       [ 5.93070005e-01,  5.55488916e-01, -2.12457528e+00, -8.91589882e-01,  1.23963499e+00],
       [-6.42609841e-01, -1.02391075e-01, -1.16931740e-01, -2.27261771e+00,  2.99885067e-01],
       [-9.31002004e-01, -1.88296858e-01, -3.23859784e-01, -9.00008570e-01, -1.22273696e+00],
       [-1.01940713e+00,  1.68807724e+00,  1.33641517e+00, -4.68945312e-01, -5.42881513e-01],
       [-1.04097720e-01,  9.98025350e-01,  7.26136290e-01,  7.41761778e-01,  5.05229211e-01],
       [-9.52025393e-02, -8.65222864e-02, -2.06662303e-01, -9.15307070e-01,  2.78683517e-01],
       [-3.18340176e-02,  1.96488941e+00, -1.49510867e+00,  1.50500819e+00, -1.24841773e-01],
       [ 6.04169507e-01,  2.22527777e-01, -4.26529698e-02, -2.71035493e-01, -1.34603868e+00],
       [ 4.19567676e-01,  1.74404109e+00,  5.92911339e-02, -9.67744396e-01,  2.06927519e-01],
       [ 3.75582306e-01,  5.53874470e-01,  5.53626395e-01, -6.91200445e-01,  2.61272553e-01],
       [ 1.06816039e+00,  1.08953266e+00, -6.82764720e-01, -7.05234180e-02,  3.43257981e-01],
       [-6.19309486e-02, -5.96031536e-01,  2.01334438e-01, -3.58593950e-01,  1.23190773e-01],
       [-7.35396814e-01,  9.42766380e-01,  1.18233165e+00,  2.03044488e-01,  1.86429600e-01],
       [-1.18344770e+00,  1.02120621e+00, -1.48044029e-01,  4.55708634e-01,  9.39813095e-02],
       [ 2.40485748e-01,  1.98624296e+00, -8.56688540e-02, -8.98803065e-01,  4.13323163e-01],
       [ 1.26975585e+00,  1.36921208e+00, -1.43238246e+00, -1.40137247e-02, -1.03032229e+00],
       [-1.46041751e+00,  1.44275911e+00, -5.48445345e-01,  1.05438804e+00,  8.58761815e-01],
       [ 1.31225520e+00,  2.55765468e-02,  1.39033304e-01, -1.96442918e-01,  1.18741748e+00],
       [-7.83815334e-01,  6.06698423e-01,  1.72723490e+00, -1.47585618e+00,  4.00504375e-01],
       [ 8.83829084e-02, -2.32281920e-02,  8.47260317e-01,  1.68228607e-01, -7.75520306e-01],
       [ 2.09784068e+00, -3.29995772e-01, -9.45836681e-01, -1.15294295e+00, -1.70317095e-02],
       [-8.07699340e-01, -2.02658907e-01, -1.86849981e+00, -1.13424803e+00, -1.27607735e+00],
       [-4.48501572e-01, -7.87210794e-01,  1.06925344e+00,  9.42553424e-01, -9.35891783e-02],
       [-2.84276426e-01, -2.20945970e-01,  8.74105300e-01,  6.75416285e-01,  2.37138845e+00],
       [-4.43251949e-01,  6.03909270e-01, -1.84732699e+00, -1.37899896e+00, -2.44242653e-01],
       [ 8.07497238e-01, -5.36121834e-01,  1.58378961e+00,  5.77149723e-01,  5.90044855e-01],
       [ 1.48303917e+00,  8.14908987e-02,  4.22919280e-01, -4.90116988e-02,  7.20989392e-01],
       [ 6.91743870e-01, -1.34888891e+00, -1.87449840e+00,  1.09067744e+00, -1.21793677e+00],
       [ 5.73805862e-01, -1.72766949e+00, -8.05366518e-01, -3.90899794e-01,  3.38589051e-01],
       [ 1.13144361e+00, -1.79588501e-01,  3.30563277e-01, -1.63435831e-01, -9.41655519e-02],
       [-3.91619811e-01,  3.07384219e-01,  1.47192937e+00, -6.11225340e-01,  1.39978106e-01],
       [-3.83345137e-01,  2.80003915e-01,  3.70481395e-01, -1.07262724e+00,  6.06071398e-03],
       [-3.83212177e-02,  3.57157922e+00, -2.30904052e-01, -3.96155922e-01, -2.42483633e+00],
       [-3.61639932e-01, -5.51936876e-01, -1.25566869e+00, -2.45203342e-01,  9.56601931e-01],
       [-4.02159735e-01, -1.17427030e+00,  8.87766069e-01,  2.14586075e-01,  7.82440404e-01],
       [ 2.59830393e+00, -1.97788793e+00,  6.42054689e-01,  7.12264635e-01, -2.46259814e-02],
       [ 2.08711336e+00, -7.32461987e-01, -1.08590240e+00, -1.21252313e+00,  1.64441230e-01],
       [ 6.58617565e-01,  6.86346215e-01,  7.72045927e-01, -1.75769961e+00,  7.11288340e-01],
       [ 4.13863082e-01,  1.95909535e+00,  3.00846402e-01, -1.08367768e+00,  4.73418809e-02],
       [ 9.88925316e-01,  1.80957146e-01,  1.11170175e+00,  1.33280094e+00, -6.16970520e-01],
       [-1.41608225e+00,  5.79689779e-01,  5.79541616e-01, -2.74877547e-01, -6.69102626e-01],
       [-9.44889409e-01,  6.67153092e-02,  4.94234499e-01,  6.59441396e-01, -1.58005956e+00],
       [-6.08710803e-01, -1.32648779e+00, -1.21338478e+00,  1.40836915e+00, -1.32060258e+00],
       [ 1.96317768e+00,  1.27766268e+00, -2.15534963e-01,  7.31248736e-01,  1.02061691e+00],
       [-9.91604686e-01,  1.60461412e+00,  1.56603327e+00,  8.22218204e-01,  3.09863453e-01],
       [ 8.12811870e-01,  1.03526256e+00, -2.93022284e+00,  5.62861181e-01, -4.05248155e-01],
       [ 3.06539895e-01, -1.40990810e-01, -8.61225253e-01,  9.34100620e-01,  1.17837515e+00],
       [ 4.81874257e-01,  3.25463628e-01,  3.82870239e-01, -2.24312786e-01,  1.01430388e+00],
       [ 2.91769281e-01,  1.46545600e+00, -6.12455248e-01, -4.64899226e-01, -1.79077980e+00],
       [-3.09751144e-01, -1.22996906e+00, -1.86388430e+00, -3.24235348e-01,  3.51679372e-01],
       [-2.02430428e+00, -1.68178192e+00,  8.92386758e-01, -5.59640053e-01, -8.19149343e-01],
       [ 6.09790506e-01,  2.42113609e-02, -2.72654462e-01,  8.70897807e-01, -4.25076104e-01],
       [ 7.22109022e-01, -1.36132886e+00,  2.09224643e-02, -1.60877914e+00, -3.27143600e-01],
       [-1.92505867e+00,  3.20314334e-01, -2.09210177e+00, -7.09162842e-01,  8.41630623e-01],
       [-1.14295204e+00,  4.09355025e-01,  8.74079809e-01,  7.71846636e-01, -3.83416311e-01],
       [-3.41261716e-01, -2.69293490e-01, -3.23105501e+00, -1.10850721e-01, -2.17946262e-01],
       [-1.78878406e-02,  1.16262992e+00,  1.15239530e-01,  6.61810951e-01,  4.03001832e-01],
       [-1.85756432e+00, -9.77094503e-01,  1.57273228e-01,  7.94955834e-01,  5.28701686e-01],
       [-2.26210255e-01, -7.69662464e-01,  1.31421292e-01,  2.53676651e-01, -1.63049651e+00],
       [-1.83726486e+00, -4.47083644e-01,  4.06727836e-01,  7.60166233e-01,  7.77221812e-01],
       [ 1.68603683e+00, -1.09268927e+00, -8.52053923e-02,  9.97889966e-01, -7.94252359e-01],
       [ 6.23597886e-02,  1.16584696e+00, -3.23134333e-01,  1.43981346e-01, -7.45636928e-02],
       [-5.86615951e-01,  1.24358633e-01, -7.45147222e-01,  1.51697368e+00,  1.54290051e-01],
       [-2.52750301e-01,  4.19589145e-01,  5.51302218e-01,  1.81565206e+00, -2.92004163e-01],
       [-7.59870981e-01, -1.64879624e+00,  2.07983492e-01, -3.13595049e-01,  5.82714972e-02],
       [-6.23985486e-02,  1.86872646e+00, -1.45363543e-01, -5.18703852e-01, -1.02910614e-01],
       [ 7.37825392e-01, -8.22000422e-01,  9.23064571e-01,  1.60708495e+00, -4.03759534e-01],
       [ 4.82577432e-01,  3.02154624e-01,  1.45859461e-01,  9.20702647e-02,  5.35236441e-01],
       [-3.80137820e+00,  1.51036690e-01,  3.46213573e-01,  6.94031150e-02, -1.12717220e+00],
       [ 3.03543535e-01,  8.02569451e-01, -1.42917561e+00,  1.88288231e+00, -5.27713165e-01],
       [ 1.01466892e-01, -7.75770020e-01,  8.29170399e-01,  1.17805700e+00, -4.21684101e-01],
       [-6.01809132e-01,  1.64140418e+00, -2.84553375e-01,  1.15235603e+00, -1.21566206e+00],
       [ 1.28304399e+00, -8.13914021e-02,  1.68282038e-01, -8.13746600e-01,  3.24029500e-01],
       [-1.94213217e+00,  2.27310511e+00,  7.66998762e-01, -9.63911290e-02, -3.36591724e-01],
       [-8.18275368e-01,  6.63479256e-01, -9.95227845e-01, -7.89571274e-01, -6.54643176e-01],
       [ 5.51231717e-01, -4.73378950e-01, -1.31268485e+00,  6.04434400e-01,  1.04773417e+00],
       [ 7.77963132e-01, -1.13904412e-01,  5.32154542e-01, -1.34630001e+00, -1.22294715e+00],
       [ 9.02006456e-01,  2.39809703e-01, -6.23629193e-01, -8.68239688e-01,  6.97490155e-01],
       [-7.61294245e-01,  8.96058313e-01,  1.61219304e+00,  3.69619586e-01,  3.64515497e-03],
       [ 2.99634603e-01, -3.10717131e-04, -2.11454815e+00, -1.18180941e+00,  1.45116882e+00],
       [-1.71828100e+00, -4.74596755e-01,  1.14886948e+00,  1.92624791e+00,  5.45338902e-01],
       [ 2.25814426e-01,  8.74090076e-02, -1.01897278e+00, -1.94881757e-01,  4.53647979e-01],
       [ 5.04138555e-01, -4.90888246e-02, -5.88559503e-01, -3.41699981e-01,  1.56739192e+00],
       [ 9.56295880e-01, -1.62306533e-01, -1.77189780e-01, -1.57943719e-02, -2.02347220e-01],
       [ 3.59405025e-02, -1.75107035e+00,  9.76812982e-01, -6.65856967e-01,  8.50102884e-01],
       [ 2.28662132e-01,  6.72669108e-02,  4.54284468e-01, -1.08046210e+00,  3.22755521e-01],
       [ 3.09243409e-01,  1.25288474e+00,  3.68418342e-01,  2.59158843e-01, -2.10922898e-01],
       [ 3.76689141e-01,  4.12669583e-01, -1.18688670e+00, -6.32506884e-01, -7.31151938e-01],
       [-1.62075198e+00,  3.45124241e-01,  2.33206200e+00,  5.28056754e-02, -2.45597666e-01],
       [-4.43377490e-01,  5.18714882e-01, -1.31813673e+00,  2.10337530e-01, -3.02095676e-01],
       [ 5.24344353e-01, -1.47828544e+00,  7.05537725e-01, -1.25118494e+00, -1.66757335e+00],
       [ 5.28010474e-01, -3.41206065e-01, -1.18692539e+00, -4.89779780e-01,  1.42104277e+00],
       [ 2.25067603e+00,  1.06221447e+00,  1.98458240e+00,  1.03037933e+00, -5.70958087e-01],
       [ 3.32764977e-01,  1.30214954e-01, -8.23431406e-01,  1.26729865e+00,  5.56548705e-01],
       [ 1.39306624e+00, -9.69797604e-01, -3.04086293e-01,  1.18915048e+00, -3.16699954e-01],
       [-1.04016288e+00, -3.36892315e-02,  8.77304639e-02,  1.79751566e-01,  1.71903468e+00],
       [-2.33186575e-01,  6.62823946e-02, -3.20474332e-02,  1.20615868e-01, -9.72855005e-01],
       [-1.81427463e-01,  1.05786255e+00, -6.94559787e-01,  3.61815347e-01,  2.32869132e-01],
       [ 8.05982112e-01,  1.07262975e+00,  1.07446514e+00, -8.23285165e-01,  9.52830862e-01],
       [ 6.75963393e-01,  6.73491278e-01, -4.01414428e-01, -4.13756881e-01, -9.86803889e-01],
       [ 2.84447494e-01, -1.18487696e+00, -3.55414436e-01,  3.09016820e-01, -3.15712590e-01],
       [ 7.29072433e-02, -7.51205880e-02, -1.04899168e+00, -7.40813773e-01,  4.03085961e-01],
       [-1.37394716e+00, -1.52756927e+00, -4.61446863e-01,  1.06167883e+00, -4.64827733e-01],
       [ 1.52524993e+00,  4.52216424e-01,  1.11627359e-01, -6.13327179e-01,  1.52339753e-01],
       [-6.02339983e-01, -4.73354970e-01, -4.15619376e-01,  1.04585733e+00, -3.79730328e-01],
       [-8.76326739e-01,  3.25552163e-01,  1.34576918e+00, -2.69917901e-01, -1.42521096e+00],
       [ 6.99328554e-01,  1.60889167e-01, -1.08041300e+00, -6.02575224e-01,  1.84745342e+00],
       [ 7.33306528e-01,  2.18431370e+00, -3.65341570e-01,  3.16194926e-01,  7.46237932e-01],
       [ 3.82319559e-01,  3.83308629e-03,  3.73842705e-01,  9.34287921e-02, -1.92419618e+00],
       [-1.76315753e+00, -9.94810474e-01,  8.70055509e-01,  1.11135199e-01,  3.97059836e-01],
       [-3.69175372e-01, -7.89255530e-01,  1.51947110e+00,  1.97269165e-01, -1.95108470e-01],
       [-3.54824458e-01, -5.48920413e-01, -2.55705460e+00, -9.78057706e-01,  3.91584242e-01],
       [-1.70149609e+00, -9.90274689e-01,  1.33745383e+00, -5.34447208e-01, -2.38565018e-01],
       [ 6.27744096e-01,  6.71673078e-01,  9.10299664e-01,  5.19523361e-01, -9.68944755e-01],
       [-1.92558689e+00, -1.40726856e+00,  1.23187179e+00, -1.56103051e+00, -2.79447230e+00],
       [ 1.18417713e+00, -6.72785736e-01,  7.20250023e-01,  1.24291790e+00, -2.87205861e+00],
       [ 5.88685555e-01,  1.59748695e-01,  6.74584831e-01, -1.66047507e+00,  1.33319070e+00],
       [-9.60602471e-01, -1.06994726e+00,  7.25924811e-01,  7.75844854e-01, -7.22075716e-01],
       [ 4.88475958e-01, -8.47681070e-01, -8.17308981e-01, -7.28753045e-01,  1.09653283e+00],
       [-2.14983045e-01,  1.16106836e+00,  8.88992918e-01, -9.86846968e-02, -1.77377135e+00],
       [-1.88444532e-01,  6.81755957e-01, -9.28122144e-01,  4.60309214e-01, -2.65842424e-02],
       [-6.96990005e-01, -1.45182920e+00, -7.15155508e-01,  3.65536897e-01, -1.10142227e+00],
       [-9.80915828e-02, -1.27562162e-01, -1.57623285e+00, -2.74583767e-02, -1.53051290e+00],
       [ 1.92983243e+00, -3.24487242e-01,  9.74386203e-01, -1.67000274e-01,  1.91482325e-01],
       [ 4.70263748e-01,  1.06991860e+00,  6.34763132e-01, -9.09327017e-01, -1.11143045e+00],
       [ 4.86066403e-01, -1.43973571e+00,  2.15801696e-01, -4.20073186e-02,  1.75290961e+00],
       [-1.09720305e+00, -8.31154984e-01,  4.68439119e-01,  1.16220405e+00, -2.12310035e+00],
       [-1.14053426e+00, -2.16686798e-01,  6.51913300e-01,  3.80344790e-01,  8.58971544e-02],
       [ 6.69213836e-01,  1.46891890e+00, -4.72380901e-01,  1.34338805e+00, -1.41834486e-01],
       [ 8.74962329e-01, -1.60443640e+00,  6.28320103e-01,  1.62912121e+00,  3.52271582e-01],
       [ 1.64881786e+00, -1.69743818e-01,  5.77793954e-01,  1.64218277e+00,  1.71546859e+00],
       [ 8.27838479e-01, -9.18555783e-02,  4.81708235e-02, -9.93540190e-01, -1.40428231e-01],
       [-1.08181912e+00,  1.52016644e+00, -1.14723714e+00,  1.89043442e-01,  9.04306220e-01],
       [-4.61187413e-01, -1.18432734e+00, -1.25118987e+00, -1.51810798e+00, -3.54908832e-01],
       [-1.75251055e-01, -1.44067399e+00,  6.09766908e-01,  6.31454616e-01,  1.19078719e-02],
       [-3.07879027e-01, -1.19486110e-01, -8.00270681e-01,  6.91198606e-01,  8.75100102e-02],
       [-1.88543166e+00,  2.02724870e+00, -1.95669825e+00, -1.15974473e+00, -8.08899139e-01],
       [ 4.03403210e-01,  6.42042149e-01,  2.62959055e-01, -2.78083727e+00,  3.45846762e-01],
       [ 8.61036854e-01, -1.20137731e+00, -1.77422355e+00,  1.09625679e+00, -1.52036712e+00],
       [ 1.62508816e+00, -3.78966059e-01,  3.27340366e-01,  6.82237017e-01, -3.63148738e-01],
       [-5.31812317e-01, -7.96246059e-01, -4.54963190e-01, -7.96630154e-01,  2.21424204e+00],
       [ 1.78877109e-01,  1.64480292e-01, -1.81862064e-01,  7.48541529e-01, -2.68851267e-01],
       [-1.31865463e-01,  4.39470037e-01,  1.93094128e-01,  1.38217346e+00, -1.39470853e+00],
       [ 1.41796683e+00, -1.11776721e+00,  7.29604120e-01, -6.04436725e-01, -7.32843980e-01],
       [ 7.06332840e-01, -1.31786441e-02, -3.29676810e-01, -5.23481528e-01,  4.30730182e-01],
       [ 1.13494469e+00,  1.83686850e+00, -2.17393174e-01, -7.18403156e-01,  1.54972172e+00],
       [ 9.73644380e-01,  9.14283085e-02,  1.42866383e+00, -5.02331288e-01,  9.97957386e-01],
       [ 8.27594585e-01,  2.45265375e-01, -1.01061704e+00,  3.89781016e-01,  1.96776909e+00],
       [ 4.52265213e-01, -1.01956213e+00,  9.16041261e-01, -1.07417899e-01,  2.40002952e-01],
       [-5.52144084e-01,  4.81287059e-01,  1.65577315e+00, -3.10227553e-01,  6.73255489e-01],
       [ 5.50577343e-01,  3.41754568e-01, -1.19024712e-02, -6.79164607e-04,  4.78700006e-01],
       [-1.37972498e+00, -1.34635756e+00, -8.17668300e-01, -3.75749911e-01,  5.23218441e-01],
       [-1.34927548e+00,  6.44098654e-01,  5.06533428e-01, -3.06698763e+00, -3.52696017e-01],
       [-8.77613587e-01,  6.68316867e-01, -1.07476659e+00,  9.55832355e-01, -1.92371573e+00],
       [-1.30916531e+00, -5.29914099e-01,  1.53409029e+00, -4.90972283e-01, -8.66046674e-03],
       [-5.10565134e-01, -9.21283697e-01,  6.01047093e-01,  9.47299202e-01,  2.81626078e-01],
       [-1.20560695e+00, -1.99327585e-01, -4.57929410e-01,  9.81006856e-01, -1.02066850e+00],
       [ 1.05769510e+00, -2.04209642e+00, -1.97236368e-01, -1.39923387e+00, -6.61550647e-01],
       [-6.83225943e-01, -5.53404329e-01,  1.13164451e+00,  1.52385202e+00, -1.84203184e+00],
       [ 2.58700883e+00,  1.12544023e+00,  2.26178685e+00,  5.93858177e-02, -6.36371024e-01],
       [ 1.87789400e-01,  2.63374250e-01, -9.18692159e-02, -3.30902146e-01,  1.48216346e+00],
       [-1.59443602e+00, -2.12649671e-01,  1.17540191e+00,  1.72933294e-01, -1.79292347e-01],
       [ 8.14098474e-01,  2.55589446e+00,  1.62909029e+00,  4.77451685e-01, -1.48958171e+00],
       [ 4.43330413e-01,  2.77448802e-01,  9.87428450e-01,  7.61089143e-01,  6.45303765e-01],
       [-1.68788673e+00,  3.02911297e-01,  7.43892083e-01, -2.04662221e+00, -6.60831267e-01],
       [ 1.68234342e-01, -2.00858547e+00, -1.21166803e-01, -9.20646543e-01, -1.31989156e+00],
       [ 6.95879662e-01,  6.11237826e-01, -1.72589000e+00,  1.30935097e+00,  3.20308213e-01],
       [ 4.88654359e-01, -1.60797997e-01, -3.03879939e-01,  2.85070774e+00,  1.50477016e-01],
       [-5.28040551e-01, -5.52252950e-01,  1.10626666e+00, -6.07941060e-02, -1.38682945e-01],
       [-2.43846056e+00, -6.59560088e-01, -5.81850210e-01,  7.50944597e-01, -1.30717819e+00],
       [ 8.27072508e-01, -1.56083452e-01, -2.84084736e+00,  1.89188975e-01,  1.31087601e+00],
       [ 1.16017595e+00, -4.30659845e-01, -3.15483987e-03, -1.46415775e-01, -6.41512336e-01],
       [ 1.95941134e+00, -1.37094847e+00,  2.78740856e-01, -3.32475275e-01, -2.02504576e+00],
       [-9.76577765e-01, -3.83782704e-02,  1.38349131e+00, -5.97790574e-01,  9.44820312e-01],
       [ 1.26243654e+00, -1.52090826e+00, -2.30192446e+00,  3.39228864e-01, -2.20084369e-01],
       [-6.05012656e-01,  7.47128412e-01, -1.27174695e+00, -6.79827892e-01, -8.90282501e-03],
       [-2.56845361e-01, -2.32357396e-01, -1.50345840e+00, -8.24992054e-01, -1.05021899e+00],
       [ 1.02931097e+00,  6.35587568e-03,  1.90214569e-01, -1.23962307e+00, -2.55036803e-01],
       [-2.20223862e-01,  5.28990844e-01,  1.92351298e+00, -1.34735947e-01,  7.44165509e-01],
       [-1.65750942e+00,  3.78736993e-01,  5.27780312e-01, -6.35649903e-01, -1.33399927e+00],
       [-1.45360899e+00,  1.14750752e+00, -8.19969034e-01,  5.29861878e-01,  7.82064244e-01],
       [-1.87947524e+00, -9.26921972e-01,  1.06654245e+00,  4.48428964e-01, -6.57466109e-01],
       [ 7.12790264e-01, -1.27022086e+00,  1.58010361e+00, -1.14768457e-01,  2.34070906e-01],
       [-1.04662756e+00,  6.43009862e-01, -8.63223063e-01, -1.44075970e+00, -1.54384006e-01],
       [ 2.72734737e-01,  3.92078047e-01,  1.84837995e+00,  7.47392962e-01,  4.25335857e-01],
       [-8.13571425e-01,  9.57989944e-01,  5.17886631e-01, -1.20962774e+00, -1.66372841e+00],
       [-9.43383936e-01,  1.57958780e-01,  9.95595012e-01,  8.34498934e-01, -6.78300858e-02],
       [-2.09011900e+00,  9.80789473e-01, -3.40726288e-02, -4.80314511e-01, -1.38503506e+00],
       [-1.93254736e+00, -8.71025244e-01, -1.48724127e+00, -5.72228748e-01, -3.10566235e-01],
       [-2.34414912e-01,  9.46185897e-01,  3.24072544e-02,  5.81589803e-01, -2.72176466e-01],
       [ 5.01248990e-01,  1.24286955e+00, -4.27679598e-01, -7.35216956e-01,  1.01273905e+00],
       [ 1.44820855e+00,  5.27624627e-01,  9.69636367e-02, -9.73011802e-01,  1.24694976e+00],
       [ 1.83819015e+00,  1.05095867e+00,  1.91437910e-01,  2.00048985e-01, -9.41819333e-01],
       [-8.60426760e-01,  1.59412004e-01, -3.71780015e-01, -2.94395700e-01,  1.24227498e-01],
       [ 1.51156832e+00,  8.04438289e-01, -5.76283203e-01, -6.55336927e-01,  4.82914942e-01],
       [ 1.21898586e+00,  6.35942706e-01, -3.53754334e-01,  2.84603030e-01,  4.20179597e-01],
       [-6.20381402e-01, -5.73804928e-01, -5.98388670e-01, -2.18147514e-01,  5.67861498e-01],
       [-2.35685288e-01, -1.47018736e-01, -5.30171509e-01, -1.17352510e+00,  2.43171449e-02],
       [-2.95882151e-02, -8.81172975e-01, -1.27313825e+00, -6.59415052e-01,  3.45660617e-01],
       [-1.73098945e+00, -3.75558119e-01, -1.10923094e+00,  1.51607594e-01,  1.57462752e-01],
       [ 2.54786978e+00,  9.61968656e-01,  7.86056608e-01,  1.08091513e+00, -9.54118965e-02],
       [ 1.31572746e+00,  2.00930900e-01, -1.27751060e+00, -3.84231571e-01, -1.80229075e+00],
       [ 1.54868224e+00,  1.08400750e+00,  4.77732374e-01,  9.77117294e-03, -1.39907352e-01],
       [ 3.42637981e-01, -7.04342147e-01,  1.31660560e+00,  7.50609917e-01, -1.26437564e-01],
       [-1.76289773e+00, -9.56527445e-02, -6.96230987e-02, -1.21741495e-01,  1.15806887e+00],
       [ 3.59287470e-01,  1.19866790e+00, -6.07852631e-01, -2.00179773e-01, -1.09120607e-01],
       [ 6.87883325e-02,  7.53868779e-01, -1.60044053e+00, -2.46815777e-01,  3.22576738e-01],
       [ 3.01290484e-01, -8.20375520e-01,  3.00795439e-01, -6.22663489e-01,  1.54911860e-01],
       [-1.29922162e-01,  4.12111624e-01,  1.37250919e-01,  1.52404660e+00,  7.58021731e-01],
       [-1.32626546e+00,  7.94862668e-01, -7.72708714e-01,  3.14271995e-01,  1.41729905e+00],
       [ 2.79290884e-01,  5.40392345e-01, -7.54008194e-01, -8.45295106e-02, -3.53080138e-01],
       [ 5.69840514e-01,  3.55039529e-01, -1.49139185e-01,  8.67706253e-01, -2.26613075e-01],
       [ 6.50154901e-01, -7.78271726e-01, -6.92922796e-01,  4.72774857e-01,  2.38501212e-01],
       [-3.06956678e-01,  5.13814122e-01,  1.33328492e-01, -6.84821028e-01,  2.30498561e-01],
       [-1.16000386e-01,  2.12581662e+00,  1.01161594e+00, -6.23226752e-02,  1.01349295e+00],
       [ 3.28862475e-01,  1.03464371e+00,  6.23592922e-01, -6.37717210e-01, -1.63169957e+00],
       [-1.90006253e+00,  1.65095618e-01, -8.56769881e-02, -4.05939613e-01, -9.76350175e-01],
       [-1.83066636e+00, -1.29710002e+00,  3.04515175e-01, -3.92309192e-01,  1.57550094e+00],
       [ 2.96429251e-02,  5.90704218e-01, -8.05832220e-02,  1.15298722e-01,  2.95862545e+00],
       [ 1.49931597e+00,  2.88173829e-01,  1.39825083e+00,  5.47069131e-01, -1.58426374e+00],
       [-1.09263532e+00,  1.51862956e+00,  3.30816771e-01, -3.46167148e-01, -8.24500575e-01],
       [ 2.16570138e+00, -1.05707714e+00, -1.23356170e+00, -8.91636992e-02,  6.74286114e-01],
       [-1.23889497e-01,  1.95486955e-01, -9.14997822e-01,  6.89316954e-02,  8.72414437e-01],
       [-1.25418351e+00, -7.13988998e-01, -3.16705533e+00, -1.11236427e+00,  9.59706371e-01],
       [ 1.20319285e+00,  1.16602766e-01,  2.05378027e+00, -9.70930812e-02, -7.97088391e-02],
       [ 1.55717830e-02,  1.24201662e+00,  3.42422576e-01, -1.64875179e-01, -6.53508693e-01],
       [-3.72271731e-01, -7.88165559e-01,  1.14065624e+00,  2.65233958e-01,  1.17460024e+00],
       [-1.75840968e+00,  6.24134455e-01,  5.49288226e-01,  3.82078620e-01, -2.79118879e-01],
       [-2.63628699e-01, -2.09926341e-01,  4.03703051e-01, -5.26109263e-01,  7.69154764e-01],
       [-7.91662237e-01, -2.63792249e+00, -1.03191342e+00,  1.60062414e+00,  1.12249970e+00],
       [ 5.86874384e-02,  1.65956974e-01,  1.04060735e-01,  1.60190765e+00,  1.06442269e+00],
       [-8.79536343e-01,  2.84591590e-03, -1.73635683e-01,  6.88222711e-01,  2.83627324e-01],
       [-1.24915663e+00, -1.58058176e-01,  3.50009137e-01, -6.10933088e-01,  3.50716258e-01],
       [-2.23616884e+00,  1.01193966e+00, -9.80006647e-01, -1.84599177e-01, -3.58020103e-01],
       [ 1.62961132e+00,  3.80219145e-01,  9.35988451e-01, -1.41551877e+00,  1.05240107e+00],
       [ 5.02934947e-01,  3.79107829e-01,  8.01202386e-01, -1.29343801e-01,  7.43465695e-01],
       [ 5.19226184e-01,  1.16591887e-01,  8.66433482e-01,  1.68993071e+00,  1.47831033e+00],
       [-3.07774322e-01,  5.56952539e-01,  8.90916750e-01,  1.16828116e-01, -7.39142274e-01],
       [ 2.34843758e-01,  9.86250573e-01, -1.48432831e+00, -4.75638560e-01, -6.30475400e-01],
       [ 7.66804705e-02,  3.81718635e-02, -2.61196821e-01, -1.55556034e+00, -2.35580591e+00],
       [ 6.52305279e-01, -1.94144293e-01,  2.27103377e+00, -2.01216028e-01,  8.72123373e-02],
       [-6.61055966e-01, -9.33751485e-01, -8.05561986e-01, -4.70269226e-01,  9.57501796e-01],
       [ 1.17582904e+00,  1.49073203e+00,  7.37368576e-01, -9.35833868e-01, -1.25388067e+00],
       [ 3.79400612e-01, -1.08456791e+00,  1.03111446e+00, -1.36347154e+00, -3.79176435e-01],
       [ 1.78516881e+00,  1.61456363e-01,  1.19998765e+00, -1.63939697e+00,  3.10122521e-01],
       [ 1.52599892e+00,  1.68498150e+00,  1.16794056e+00,  1.78274217e-01, -2.81215053e-01],
       [ 6.40218680e-01,  6.80071533e-01,  1.17591077e+00, -1.00496715e+00,  1.37499063e+00],
       [-1.16647132e+00,  1.07979635e+00, -4.82365315e-01, -4.21078505e-01,  8.56554856e-01],
       [-1.60969508e+00, -1.11992251e+00,  8.45701242e-01, -3.59296716e-01,  1.35700619e-02],
       [ 4.32890059e-01,  1.14568421e+00,  1.59614713e-01,  3.26804720e-01,  2.97762890e-01],
       [-5.04583270e-01, -2.69518905e-01,  4.06071195e-01, -3.40914654e-03, -1.82502833e+00],
       [ 2.07415244e-01, -3.86695537e-01,  4.75933872e-01,  7.73754359e-01,  9.98053062e-01],
       [-1.84621675e-02, -7.20759568e-01,  7.51975370e-02,  1.33924944e-01, -4.69154101e-01],
       [-1.58327137e-01, -5.49253589e-01, -1.11656483e+00, -5.97855081e-01, -2.09973736e-01],
       [ 4.74347298e-01,  8.12341330e-01, -2.70232392e-01,  4.99740145e-01, -5.63923932e-01],
       [ 1.20896282e+00, -7.68069421e-01,  6.66444460e-01,  6.68253295e-01,  1.83556065e+00],
       [-2.54300187e-01, -3.51406733e-01,  2.07953868e+00,  1.28600134e+00, -7.00900088e-01],
       [ 3.13372068e-01, -1.28701280e-02, -3.33933411e-01, -1.99494828e-01,  1.81112637e-01],
       [ 1.43050907e-02,  2.15817020e+00, -1.28451754e-01, -8.40878617e-01, -3.82387029e-01],
       [ 9.29584470e-01,  6.96407495e-02,  7.52033668e-01, -2.65445625e-01,  1.26082127e+00],
       [-9.14176581e-01,  8.32786348e-01,  4.20126263e-01, -4.08114857e-01,  3.82361170e-01],
       [ 1.22545315e+00,  1.01888383e+00,  2.15369598e-01, -1.38723750e+00,  2.14562240e-02],
       [ 1.60544421e-01,  1.87580055e+00,  6.95787319e-01,  4.15694540e-01,  8.19760610e-01],
       [-2.39668781e-01,  4.56270895e-01, -2.12080122e-01,  1.54454445e+00,  1.43307733e-01],
       [ 2.13695602e-01, -6.32260778e-01, -3.00232397e-01, -2.04316535e-01,  1.03387820e+00],
       [ 1.25215388e+00, -1.23541865e+00, -4.69428825e-01,  7.78009730e-01,  1.12388288e+00],
       [-1.69345405e+00,  8.04140936e-02, -1.12095292e-01, -3.25791609e-01, -2.63153380e-01],
       [ 6.11123550e-01, -8.28988834e-01,  7.65054846e-01, -6.59151311e-01, -1.44013347e-01],
       [ 2.07110553e-01,  4.23943614e-01,  7.53478467e-01, -5.45255408e-01,  8.46786701e-01],
       [ 1.83290593e+00,  6.42853905e-01, -1.28759518e+00, -3.91403680e-01, -6.29718717e-01],
       [-1.69205242e+00,  8.35058747e-01,  1.86292759e+00, -6.82450934e-01,  7.42686221e-01],
       [-2.18708593e+00,  3.71524682e-01, -1.56359727e-01, -1.58605207e-01,  4.70024454e-02],
       [-3.55613128e-01, -7.99339154e-01, -8.25651467e-03, -6.64779252e-01, -8.01571781e-01],
       [ 5.93731121e-01,  8.37102214e-01, -7.76578668e-01, -1.09921529e+00,  5.32657395e-01],
       [-1.94214954e+00,  1.85847441e+00, -8.93195947e-01,  5.85377547e-02,  1.41872928e+00],
       [-5.47065645e-01,  9.11460610e-01, -8.45644428e-01, -1.37449688e+00, -7.55266106e-05],
       [-1.93176898e+00,  9.99252803e-01, -4.53569176e-01, -1.31804382e+00, -4.19640742e-01],
       [-9.05300265e-01, -1.77899339e-01, -2.65576159e-01,  5.38803274e-01, -8.85253056e-02],
       [-1.71967390e+00, -3.33469820e-01,  9.58191140e-01,  2.03745194e+00,  1.53483488e+00],
       [ 1.01395868e+00,  5.37923058e-01, -3.82086552e-01,  1.07829882e-01,  3.51450517e-01],
       [ 2.72461933e-01, -1.32806723e+00,  1.91952641e+00,  5.49697269e-01,  9.17883946e-01],
       [-1.23688733e-01, -2.78811288e+00,  1.50258091e+00, -1.58720643e+00,  8.88194541e-01],
       [-4.70112545e-02,  6.79064297e-01, -1.41781177e+00, -6.12525352e-01,  8.04181001e-01],
       [ 5.49834364e-03, -3.14334319e-01,  5.52537347e-01,  1.40446176e+00, -1.02590007e+00],
       [-1.66808131e+00, -1.32247311e+00, -3.14131532e-02,  2.43941406e+00,  3.45900749e-01],
       [-3.58935926e-01,  1.45958927e+00,  9.34608295e-02,  1.39535293e+00, -5.48642128e-01],
       [ 1.35077672e-01, -5.88970546e-01, -2.25153499e+00,  1.13115191e+00, -1.21226896e+00],
       [ 1.13755973e-01, -1.80762128e+00,  7.63160514e-01, -3.14074374e-01,  1.03568037e-01],
       [-1.79388892e+00, -9.71936837e-01, -4.75647768e-01, -1.57052860e+00, -2.64986452e-01],
       [-6.92052602e-01, -5.40688337e-01, -4.23027745e-01,  2.31017267e-01,  1.34970110e-01],
       [ 3.82264833e-01, -1.06622649e+00, -6.42577869e-02,  1.16801869e-01, -4.04896974e-01],
       [-2.28175243e+00, -4.33567278e-01,  6.00054450e-01,  3.74918534e-01, -1.11829888e+00],
       [-4.44142060e-01, -4.61344464e-01, -2.77331556e-01,  4.66579001e-01, -4.69579475e-02],
       [ 1.32616806e+00,  2.06749048e+00, -3.45041731e-01, -6.75018304e-02, -5.20251711e-01],
       [-1.19830114e+00,  4.54900806e-02,  8.07236535e-01, -2.33092061e-01,  1.99524074e-01],
       [ 1.22056891e+00, -1.45068314e+00, -1.11503995e+00, -4.72530592e-01, -3.31128298e-01],
       [ 1.20251659e+00, -5.26264015e-01,  1.00772824e+00, -5.18353205e-01, -1.56315671e+00],
       [ 6.88296930e-01, -5.98105331e-01,  7.03310118e-01,  2.20070210e+00, -6.30725091e-03],
       [ 6.86804407e-01,  6.00882509e-01,  4.12818762e-01, -1.13164093e+00,  5.85768139e-01],
       [-8.66495204e-01,  1.26462529e+00, -6.69618600e-01, -1.42021300e+00, -6.66807509e-01],
       [ 8.25954195e-02, -1.41789449e+00,  4.65770066e-01,  4.40582300e-01,  9.60880075e-01],
       [-1.70084426e-01, -1.05900565e-01, -2.92002932e+00,  6.65877397e-01,  1.84929813e-01],
       [-7.04720423e-01,  5.47923958e-01, -1.61373110e+00,  1.44355176e+00,  8.47338658e-01],
       [-9.73436995e-01, -1.16401188e+00,  1.96780093e-01,  9.13004534e-01, -1.37376571e-01],
       [-6.40767402e-02, -3.91627710e-01,  1.33219988e+00,  2.10916296e-01,  4.34197668e-01],
       [ 5.45987985e-01,  1.06538295e+00, -5.48418343e-01, -5.23922408e-01, -5.65880119e-01],
       [ 1.11925619e-01,  8.76326304e-01,  1.20753027e+00,  5.37244861e-01,  3.37783871e-01],
       [ 1.19123246e+00, -1.60518080e+00,  4.81085631e-02,  1.26180681e-01, -3.48258119e-01],
       [-1.68426432e-01, -2.91506713e-01, -4.07512592e-01,  2.45379407e-01,  2.44026938e-01],
       [-1.88639660e+00,  2.08510165e-02, -5.09394994e-01, -1.15200246e+00,  8.98354907e-01],
       [ 3.02162954e-01,  7.18514506e-01, -1.05697058e-01,  1.48372069e+00, -2.41750143e-01],
       [ 7.92270141e-02,  1.52366378e+00, -8.98422941e-01, -1.09502646e+00, -2.74396574e-01],
       [ 1.17786194e+00, -1.26735205e+00,  1.15020554e+00,  1.81035130e-01, -3.35010762e-01],
       [ 9.09030993e-01,  1.72798801e+00,  1.86980891e+00, -9.31595625e-01,  3.04062390e-01],
       [-3.64357200e-01,  1.19118926e+00,  1.08464302e+00,  3.59687060e-01, -2.02752749e-01],
       [-7.25173450e-01,  1.03419660e+00, -1.54876500e+00,  1.62665410e-01,  4.89203494e-01],
       [-2.50316101e+00, -2.27050246e-01, -2.23390525e+00,  2.21678813e+00,  8.42652217e-01],
       [-4.16345285e-01, -1.48195846e+00, -2.34318725e-01,  1.22007851e+00,  3.81663120e-02],
       [-6.80262803e-01, -7.64981116e-01, -8.87191425e-01, -7.57164098e-01, -1.41674959e+00],
       [-6.32866958e-01,  1.70160817e+00,  1.06390503e+00,  1.96569619e-01,  7.71365725e-03],
       [-9.98878250e-01, -7.74349484e-01, -7.15937395e-01,  2.69472683e-01, -1.81403260e+00],
       [-3.27764245e-01,  4.85475226e-01, -2.28034538e-01,  6.70512391e-01,  1.01286819e+00],
       [-1.23735321e+00, -8.65432272e-01, -1.41872591e+00, -1.37468797e+00,  1.24055896e-01],
       [-1.15841591e+00, -6.92583116e-01, -9.29711634e-01, -5.74661270e-02,  1.26516506e-01],
       [-1.26117773e-01, -2.99680070e-02,  1.77192329e-01,  1.99582111e-01,  1.97018933e-01],
       [-5.63669311e-01, -9.28937721e-01, -1.07889691e+00, -7.30110860e-01,  1.54792327e+00],
       [ 7.48215617e-01, -5.52108071e-01, -2.75786014e-01,  1.20747363e-01,  1.60869097e+00],
       [-1.62716720e+00,  4.63487255e-01, -4.47440164e-01,  3.92493258e-01,  2.60009682e-01],
       [ 1.86625720e-01, -4.71891730e-01,  1.41737520e+00, -1.49147867e+00, -7.94643718e-01],
       [ 1.26593626e+00, -2.42667924e+00,  1.65143654e+00, -4.28912629e-01, -8.66740402e-01],
       [-1.66768923e+00, -5.36094601e-02,  2.76660307e+00, -4.34004738e-01,  5.02219248e-02],
       [ 1.02390550e+00, -1.10638591e+00,  2.38760672e-01,  3.66732198e-01, -2.10056413e-01],
       [ 5.19611147e-01, -1.66528042e+00,  2.33407312e-01, -3.66081695e-01,  2.05809293e+00],
       [-9.07591995e-01, -1.32567447e-01, -8.71281197e-01,  8.85841112e-01,  5.21137514e-01],
       [-7.14880775e-01,  2.75040151e-01,  2.15608564e+00, -1.74343681e-01,  9.85282566e-01],
       [-1.49290942e-01, -7.59835089e-01, -1.16012966e+00, -6.54381086e-01,  1.98676304e+00],
       [ 1.86284938e-01,  2.81117663e-02, -5.31996585e-01, -1.08229436e+00, -3.81271461e-01],
       [ 9.93806707e-01,  1.49245539e+00,  6.73648934e-01,  9.86474019e-01,  2.04187588e-02],
       [-1.32907883e+00, -1.65369784e+00, -6.82538154e-01,  1.25333595e+00,  2.78033712e-01],
       [-9.99380749e-01,  5.67594726e-01, -7.48827466e-01,  7.18150543e-01,  4.74898323e-01],
       [-2.20292465e-01,  4.95180889e-01,  1.26642930e+00, -5.14240391e-01,  1.86156412e+00],
       [-1.36038857e-02, -2.48655850e-01, -1.30444689e-01, -6.69647148e-01,  6.86200686e-01],
       [ 5.72842819e-01,  2.72824942e-01, -1.31240319e-01,  1.81974128e-01, -8.39112705e-01],
       [ 1.31092370e+00,  7.86903222e-01,  5.74621429e-01,  2.73073188e-01, -6.81004547e-02],
       [ 8.47517370e-01,  1.62670626e-01, -1.62295356e+00, -5.21305606e-01, -5.28400755e-01],
       [-4.80100622e-01, -1.09078443e+00,  1.28559172e+00,  1.99611039e-02, -9.23415197e-01],
       [ 2.87620713e-01, -8.56649877e-01,  1.45716855e-01, -1.17684832e+00, -6.38061937e-01],
       [ 8.07308186e-01, -6.88868984e-01,  1.25523737e+00,  1.66095249e+00, -3.14758147e-01],
       [-4.69550013e-01, -2.15410489e-01,  6.68087321e-01,  1.85978589e-01,  4.72396137e-02],
       [-1.81188023e-01,  1.03716203e+00, -1.32576755e-01, -1.51832631e+00, -2.83365746e+00],
       [ 2.00660009e-01,  3.61203060e-01,  2.87214281e-01,  1.08319880e+00, -8.53201516e-01],
       [ 7.04474074e-01, -1.93963871e-01,  2.03159982e-02,  1.34026793e-01,  6.65653438e-01],
       [-3.73745028e-01, -4.22114730e-01,  4.11718831e-01, -7.73805905e-01, -3.46720291e-01],
       [ 2.84469557e-01,  1.57564975e+00, -6.44925458e-01,  7.53276212e-01,  2.04860319e-01],
       [ 7.42372588e-01, -8.86004489e-01,  6.09407319e-01, -1.26386180e-01,  6.25430326e-01],
       [ 1.09411010e+00,  7.96667868e-01,  4.65623814e-01, -8.37083388e-01, -1.66797491e-01],
       [-1.46511622e+00,  6.30488030e-01, -3.18956989e-01, -2.15249344e+00,  3.63445562e-01],
       [-5.29988864e-01,  7.28535401e-01, -1.70899178e+00, -9.87598059e-02, -2.44307579e+00],
       [ 1.07611274e+00,  1.45194681e-01, -2.15211508e+00,  2.31228126e-01, -3.58749383e+00],
       [ 1.60659681e+00,  3.49025641e-02,  2.55985023e+00,  2.32649658e-01,  1.68722267e-01],
       [ 8.64209271e-01, -1.56943204e+00,  1.49519203e+00,  1.13101627e-01, -6.27750196e-01],
       [-1.32081431e+00, -4.10510463e-01,  6.75503781e-01, -9.64200035e-01, -4.44703779e-01],
       [ 9.45876984e-01,  9.31529613e-01, -1.71596005e-01,  3.85066103e-01,  6.13067728e-01],
       [ 8.44334606e-01,  4.08625561e-01, -1.55357818e+00, -1.01164375e+00, -2.87784364e-01],
       [ 4.95728916e-01,  8.10325597e-01,  1.92448761e-01,  1.16799059e+00, -1.13195653e+00],
       [-6.37692139e-01, -1.26254374e+00,  1.29385524e-01, -1.40298909e+00, -3.26517647e-01],
       [-4.97568783e-01, -7.85719399e-01,  3.13091930e-01, -7.03838361e-02,  2.55177521e-01],
       [-5.23860010e-01, -6.78373811e-01, -1.71590149e+00,  1.47440502e+00, -1.35982402e-01],
       [ 5.53774608e-01,  1.57323963e+00,  1.38501464e-01,  1.27002488e+00, -2.15944165e+00],
       [-4.39672205e-01, -7.17485837e-01, -7.36263934e-01, -9.72556324e-01,  1.08822048e+00],
       [ 8.11145045e-01, -8.89911057e-01, -4.49514671e-01,  2.79216715e-01, -1.25977171e+00],
       [ 6.48562899e-01,  2.89795599e-01,  8.01544172e-01, -4.03713105e-01, -1.54344391e+00],
       [-6.69205605e-01,  2.96358656e-01, -2.05021768e+00,  5.65396564e-01,  4.32505429e-02],
       [ 1.43324013e+00,  5.28141973e-01,  3.43164157e-01,  9.85833246e-01,  1.31022893e+00],
       [ 1.44424506e+00,  2.17205091e+00,  1.64960973e+00, -6.19832034e-01, -1.57782779e+00],
       [-7.98062735e-01, -1.03878821e+00, -1.29408532e+00,  1.74371223e+00,  2.96832303e-02],
       [-1.54205311e-01, -4.30417758e-02, -2.84247098e-01, -5.28014827e-02, -1.67877227e-01],
       [ 3.77704564e-01,  8.29547144e-01, -1.32343627e+00, -7.61528587e-01, -1.18743326e+00],
       [ 1.80443632e+00, -9.20093108e-01,  1.52544424e+00, -6.24024850e-01, -2.50601446e-02],
       [ 1.18411875e+00, -6.89640164e-01, -1.64711570e+00,  1.67806871e+00, -7.11572671e-01],
       [-3.56663061e-01, -4.47771425e-01, -5.10342874e-01,  9.37850297e-01, -1.89517559e+00],
       [ 2.60374659e-01,  4.96712400e-02, -6.82331046e-01, -1.74762917e+00, -1.03552842e+00],
       [-3.66568075e-01,  5.86579680e-01,  1.67971561e-01,  1.01240024e+00, -6.14836787e-02],
       [-1.87469173e-03,  1.58806789e+00,  1.78435680e+00,  1.12644172e-01,  6.31948284e-01],
       [ 9.78559078e-01,  6.20277356e-01,  2.40936864e-01, -2.59341634e-01, -1.27674575e-01],
       [ 4.24243386e-01, -1.27027612e+00, -7.59475102e-01,  4.46491416e-01,  8.00220882e-01],
       [ 4.97555942e-01,  6.37492602e-01,  1.52901431e+00,  2.11713340e+00, -2.31291944e-01],
       [-7.01750520e-01, -3.26651702e-01,  1.87257576e-01, -1.05197042e+00,  4.67550474e-01],
       [ 1.53591757e+00, -7.17890892e-01,  1.75431226e+00, -8.23192038e-01,  1.30774005e+00],
       [-1.88849238e+00, -9.57581839e-01, -3.93310852e-01,  2.05646734e+00, -1.12833055e+00],
       [ 2.85650196e-01, -1.78012614e-01,  1.60059793e-01,  3.42205404e-01, -2.36286411e+00],
       [-5.68139293e-01, -9.25466973e-01,  4.11367752e-01,  4.38430903e-01, -7.20391314e-01],
       [ 3.71187505e-01, -1.55900181e-01,  2.40631191e-01, -5.01817103e-01,  5.25028054e-01],
       [-7.20600982e-02,  9.84827487e-01, -1.49021343e+00, -4.64034254e-01, -1.05268356e-01],
       [-8.82828988e-01, -1.00750880e+00,  7.89828035e-01, -1.30578587e+00, -3.46090034e-01],
       [-7.28077864e-01,  1.40817707e+00, -9.24420198e-01,  6.18716810e-01, -1.87115353e-02],
       [-1.51501351e+00, -1.69175117e+00, -1.73473635e-01,  3.67705494e-01, -8.11269834e-01],
       [ 3.03787931e-01,  1.49933828e-01,  5.68504207e-01,  5.49642596e-01,  2.43765761e-01],
       [-1.11252931e+00, -1.56844005e+00,  1.72092032e+00, -4.80141918e-02, -6.47449515e-02],
       [-1.24607797e+00,  6.37380986e-01, -9.72613193e-02,  5.11604056e-01,  4.72785023e-01],
       [-1.92614986e-01, -1.75540184e+00, -4.26689770e-01, -3.48607515e-01,  4.49135613e-01],
       [ 1.60293721e-01, -1.20004328e+00, -7.58628423e-01,  9.74132435e-01, -7.92091951e-01],
       [ 1.94513083e-01, -6.30065218e-01, -1.86175975e+00, -1.70035827e-02,  2.79197117e+00],
       [-4.09241617e-01, -1.09635351e+00,  4.61605393e-01, -8.77618277e-01, -2.04813502e-01],
       [ 1.25870044e+00, -9.87571530e-01, -3.94754919e-01,  6.82132899e-02,  3.51798274e-02]
    ]),
    index = pd.date_range(start='2020-01-01', periods=500, freq=freq),
    columns=[f"exog_{i}" for i in range(5)]
)

series_wide_range = pd.DataFrame({
     'l1': pd.Series(np.array(
               [0.69646919, 0.28613933, 0.22685145, 0.55131477, 0.71946897,
               0.42310646, 0.9807642 , 0.68482974, 0.4809319 , 0.39211752,
               0.34317802, 0.72904971, 0.43857224, 0.0596779 , 0.39804426,
               0.73799541, 0.18249173, 0.17545176, 0.53155137, 0.53182759,
               0.63440096, 0.84943179, 0.72445532, 0.61102351, 0.72244338,
               0.32295891, 0.36178866, 0.22826323, 0.29371405, 0.63097612,
               0.09210494, 0.43370117, 0.43086276, 0.4936851 , 0.42583029,
               0.31226122, 0.42635131, 0.89338916, 0.94416002, 0.50183668,
               0.62395295, 0.1156184 , 0.31728548, 0.41482621, 0.86630916,
               0.25045537, 0.48303426, 0.98555979, 0.51948512, 0.61289453]
                    )
          ), 
     'l2': pd.Series(np.array(
               [0.12062867, 0.8263408 , 0.60306013, 0.54506801, 0.34276383,
               0.30412079, 0.41702221, 0.68130077, 0.87545684, 0.51042234,
               0.66931378, 0.58593655, 0.6249035 , 0.67468905, 0.84234244,
               0.08319499, 0.76368284, 0.24366637, 0.19422296, 0.57245696,
               0.09571252, 0.88532683, 0.62724897, 0.72341636, 0.01612921,
               0.59443188, 0.55678519, 0.15895964, 0.15307052, 0.69552953,
               0.31876643, 0.6919703 , 0.55438325, 0.38895057, 0.92513249,
               0.84167   , 0.35739757, 0.04359146, 0.30476807, 0.39818568,
               0.70495883, 0.99535848, 0.35591487, 0.76254781, 0.59317692,
               0.6917018 , 0.15112745, 0.39887629, 0.2408559 , 0.34345601]
                    )
          )
})
series_dict_range = series_wide_range.copy().to_dict(orient='series')

exog_multiseries = pd.DataFrame({
     'exog1': pd.Series(np.array(
               [0.81362466, 0.18065237, 0.23475578, 0.65981251, 0.77626016,
               0.41868245, 0.96643556, 0.67516195, 0.4466783 , 0.44168289,
               0.35158485, 0.75925757, 0.40625296, 0.19853505, 0.34611829,
               0.61579746, 0.07568532, 0.06880357, 0.59517447, 0.57993728,
               0.79023383, 0.66388325, 0.67390093, 0.68257639, 0.47676493,
               0.3977578 , 0.56785123, 0.34779524, 0.26016756, 0.70679266,
               0.04774995, 0.39197318, 0.46367839, 0.4370433 , 0.41450122,
               0.37961077, 0.47225148, 0.79649699, 1.0426137 , 0.48792391,
               0.50458267, 0.20520444, 0.23720236, 0.39452153, 0.85171668,
               0.15336444, 0.4738726 , 1.17622403, 0.53176631, 0.55083837])
               ),
     'exog2': pd.Series(np.array(
          [0.22529048, 0.97937984, 0.17235964, 0.24529647, 0.7127206 ,
          0.62075889, 0.11435243, 0.91700825, 0.5831643 , 0.04030412,
          0.65716865, 0.30658072, 0.46395434, 0.48452434, 0.46278193,
          0.18426942, 0.26344748, 0.23883066, 0.72779828, 0.07488211,
          0.94899474, 0.44163677, 0.25777764, 0.90987212, 0.38569441,
          0.77341595, 0.70397664, 0.61953314, 0.66083099, 0.24472837,
          0.37629717, 0.09605039, 0.9278549 , 0.3234861 , 0.272853  ,
          0.73149366, 0.84567995, 0.03531591, 0.25809087, 0.53148211,
          0.83952041, 0.26563705, 0.60606193, 0.0181884 , 0.60906828,
          0.19357335, 0.16319844, 0.58427611, 0.81820829, 0.08336001])
     ),
     'exog3': pd.Series(np.array(
          [0.14173692, 0.19838271, 0.48780824, 0.08424373, 0.08567588,
          0.70887437, 0.04705875, 0.22284741, 0.92726105, 0.99537986,
          0.83901923, 0.29050851, 0.05909171, 0.27456474, 0.25750109,
          0.43010083, 0.29702035, 0.56146054, 0.1388417 , 0.84215781,
          0.83955923, 0.96457563, 0.66089525, 0.15896887, 0.61108399,
          0.27603516, 0.92614876, 0.48826627, 0.32792168, 0.87529287,
          0.6452307 , 0.50767682, 0.26563346, 0.54585537, 0.80222916,
          0.88929714, 0.86435062, 0.71305703, 0.18654522, 0.41497294,
          0.66556244, 0.71263307, 0.98795819, 0.6306933 , 0.14902407,
          0.16021244, 0.66550264, 0.77537995, 0.07558725, 0.21460743])
     ),
     'exog4': pd.Series(np.array(
          [-0.06574814,  0.90956685,  0.62142653,  0.82637769,  0.56159495,
          0.34376551,  0.45848779,  0.38489167,  0.89467872,  0.54904309,
          0.8185359 ,  0.48700256,  0.68844761,  0.69774397,  0.76506425,
          0.00440831,  0.79692897,  0.12322595,  0.12812382,  0.62445613,
          0.2433968 ,  0.84983804,  0.6108338 ,  0.68502064,  0.01186788,
          0.54597677,  0.44377848,  0.29329784, -0.02316005,  0.45542694,
          0.221795  ,  0.7963138 ,  0.57343061,  0.33216654,  0.91545132,
          0.93857233,  0.39897906,  0.16776203,  0.31379519,  0.3557038 ,
          0.83869898,  0.99444057,  0.32071535,  0.80514198,  0.52945861,
          0.76451127,  0.37253453,  0.37938831,  0.12500821,  0.30680189])
     ),
})
